The roots of the equation $x^2-5x+3=0$ are $\alpha$ and $\beta$. Without solving the equation,

Question

The roots of the equation $x^2-5x+3=0$ are $\alpha$ and $\beta$. Without solving the equation, find the value of each of the following. $\alpha^3+\beta^3$ $\dfrac{\alpha}{\beta}+\dfrac{\beta}{\alpha}$

Accepted Answer

(a) $80$ (b) $\frac{19}{3}$

Harder symmetric combinations of roots

Harder symmetric combinations of roots

Solution:

Solution locked